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How do you prove cosxcotx = cscx - sinx? Socratic
WebNov 13, 2024 · 3 Answers Sorted by: 0 Use the formula cos ( 2 x) = 1 − 2 sin 2 x, and let x = arcsin ( 4 w), so sin x = 4 w. After this substitution you get: cos ( 2 arcsin ( 4 w)) = 1 − 2 sin 2 x = 1 − 2 ⋅ ( 4 w) 2 = 1 − 32 w 2. Share Cite Follow edited Nov 13, 2024 at 1:40 answered Nov 13, 2024 at 1:27 Alex 4,823 1 12 32 WebJul 12, 2024 · Proof of the sine double angle identity. sin(2α) = sin(α + α) Apply the sum of angles identity. = sin(α)cos(α) + cos(α)sin(α) Simplify. = 2sin(α)cos(α) Establishing the identity. Exercise 7.3.1. Show cos(2α) = cos2(α) − sin2(α) by using the sum of angles identity for cosine. Answer. the radish grimes iowa
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